10010131023101 has 32 divisors (see below), whose sum is σ = 11628281503872. Its totient is φ = 8516147189760.

The previous prime is 10010131023059. The next prime is 10010131023143. The reversal of 10010131023101 is 10132013101001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10010131023059) and next prime (10010131023143).

It is a cyclic number.

It is not a de Polignac number, because 10010131023101 - 2¹⁸ = 10010130760957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010131020101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60960230 + ... + 61124216.

It is an arithmetic number, because the mean of its divisors is an integer number (363383796996).

Almost surely, 2^{10010131023101} is an apocalyptic number.

10010131023101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010131023101 is a deficient number, since it is larger than the sum of its proper divisors (1618150480771).

10010131023101 is a wasteful number, since it uses less digits than its factorization.

10010131023101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165869.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10010131023101 its reverse (10132013101001), we get a palindrome (20142144124102).

The spelling of 10010131023101 in words is "ten trillion, ten billion, one hundred thirty-one million, twenty-three thousand, one hundred one".